Subtract: $5 x^{2} - 9 x y - 3 y^{2}$ from $3 x^{2} - 5 x y - 2 y^{2}$

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Solution

If we subtract $5 x^{2} - 9 x y - 3 y^{2}$ from $3 x^{2} - 5 x y - 2 y^{2}$ then we get,
$(3 x^{2} - 5 x y - 2 y^{2}) - (5 x^{2} - 9 x y - 3 y^{2})$
$= 3 x^{2} - 5 x y - 2 y^{2} - 5 x^{2} + 9 x y + 3 y^{2}$
$= - 2 x^{2} + 4 x y + y^{2}$ .

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